Jenny went shoe shopping. Now she has 5 more pairs than her brother. Together they have 25 pairs. How many pairs does Jenny have and how many pairs does her brother have?
Let j be the number of shoes Jenny has and b be the number of s hoes her brother has. Set up 2 equations:
(1) b + j = 25
(2) j = b + 5
Substitute (2) into (1)
b + (b + 5) = 25
Group the b terms
2b + 5 = 25
Subtract 5 from each side
2b = 20
Divide each side by b
b = 10
Substitute b = 10 into (2)
j = 10 + 5
j = 15
Let j be the number of shoes Jenny has and b be the number of s hoes her brother has. Set up 2 equations:
(1) b + j = 25
(2) j = b + 5
Substitute (2) into (1)
b + (b + 5) = 25
Group the b terms
2b + 5 = 25
Subtract 5 from each side
2b = 20
Divide each side by b
b = 10
Substitute b = 10 into (2)
j = 10 + 5
j = 15